Add 27/30 and 6/49
27/30 + 6/49 is 501/490.
Steps for adding fractions
- Find the least common denominator or LCM of the two denominators:
LCM of 30 and 49 is 1470
Next, find the equivalent fraction of both fractional numbers with denominator 1470 - For the 1st fraction, since 30 × 49 = 1470,
27/30 = 27 × 49/30 × 49 = 1323/1470 - Likewise, for the 2nd fraction, since 49 × 30 = 1470,
6/49 = 6 × 30/49 × 30 = 180/1470 - Add the two like fractions:
1323/1470 + 180/1470 = 1323 + 180/1470 = 1503/1470 - 1503/1470 simplified gives 501/490
- So, 27/30 + 6/49 = 501/490
In mixed form: 111/490
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